Geometry and Analysis on Groups Research Seminar

"Geometry and Analysis on Groups" Research Seminar

Time: 20.10.20, 15:00–17:00
Location: Seminarraum 8, Oskar-Morgenstern-Platz 1, 2.Stock
Title: Simplicial volume and stable commutator length
Speaker: Clara Loeh (Regensburg)
Abstract: Simplicial volume is a homotopy invariant of manifolds, defined as the "size" of the fundamental class in singular homology. We show how stable commutator length can be used to construct manifolds with controlled simplicial volume; in dimension 4, we can thereby realize every non-negative rational number and also arbitrarily small transcendental numbers as simplicial volumes of closed manifolds. This is based on joint work with Nicolaus Heuer.